Convenient categories for internal singular algebraic topology

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zbMath0496.55006MaRDI QIDQ1170530

M. V. Mielke

Publication date: 1983

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

homotopy geometric realization limit spaces bornological spaces k-spaces convergence spaces category together with an embedded topos filter convergence spaces grill spaces preordered spaces pseudotopological spaces simplex structure on a pair of categories singular (co)homology

Mathematics Subject Classification ID

Topoi (18B25) Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Preorders, orders, domains and lattices (viewed as categories) (18B35) Categorical structures (18D99) Topological categories, foundations of homotopy theory (55U40) Generalities in topology (54A99)

Related Items (5)

Separation, connectedness, and disconnectedness ⋮ \(\text{Pre}T _{2}\) objects in topological categories ⋮ Sober spaces ⋮ Clopen objects, connected objects, and normalized topological categories ⋮ Geometric topological completions with universal final lifts

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